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Finding the Third Proportional to 473,098.50 and 637,436.25

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Solution

The third proportional to 473,098.50 and 637,436.25 is: 858,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,098.50 : 637,436.25 = 637,436.25 : x
  2. Step 2: Convert to fraction form
    473,098.50/637,436.25 = 637,436.25/x
  3. Step 3: Cross multiply
    473,098.50x = 637,436.25 × 637,436.25
  4. Step 4: Simplify right side
    473,098.50x = 406,324,972,814.06
  5. Step 5: Solve for x
    x = 406,324,972,814.06/473,098.50
  6. Step 6: Final answer
    x = 858,859.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.